Question

a normal distribution has a mean of 645.33 and a standard deviation of 12.78. approximately 68 percent of the data will lie between which two values? (1 point)

Explanation:

Step1: Recall the empirical rule for normal distribution

The empirical rule states that for a normal distribution, approximately 68% of the data lies within 1 standard deviation of the mean.

Step2: Calculate the lower bound

The lower bound is $\mu-\sigma$, where $\mu = 645.33$ and $\sigma=12.78$.
$$645.33 - 12.78=632.55$$

Step3: Calculate the upper bound

The upper bound is $\mu+\sigma$.
$$645.33 + 12.78 = 658.11$$

Answer:

632.55 and 658.11